Question

Problem Could 10.7\text{ cm}, 3.2\text{ cm},10.7 cm,3.2 cm,10, point, 7, start text, space, c, m, end text, comma, 3, point, 2, start text, space, c, m, end text, comma and 5.5\text{ cm}5.5 cm5, point, 5, start text, space, c, m, end text be the side lengths of a triangle?
Problem
Could 10.7\text{ cm}, 3.2\text{ cm},10.7 cm,3.2 cm,10, point, 7, start text, space, c, m, end text, comma, 3, point, 2, start text, space, c, m, end text, comma and 5.5\text{ cm}5.5 cm5, point, 5, start text, space, c, m, end text be the side lengths of a triangle?

Answer 1

Answer:

Take a page of lined paper and cut three thin, vertical strips. The lines now look like the tic marks on the number line. Trim the strips to be 10.7, 3.2, and 5.5 lines long (approximately). Now make a triangle. You can't, because "The sum of the lengths of any two sides must be longer than the length of the third side."